Problems Rigidity / Uniqueness K-303
K-303

Quantitative Kerr characterization via the Mars–Simon tensor

partial Rigidity / Uniqueness

Statement

Turn the invariant characterization of Kerr by vanishing Mars–Simon tensor into a stable quantitative theorem with explicit constants.

Mathematical prerequisites

Invariant tensors; stationary Einstein equations; elliptic estimates; quantitative rigidity.

Why it matters

An exact characterization is powerful, but a stability theorem needs quantitative control.

Completion criteria

A complete answer must bound distance to Kerr in terms of an explicit norm of the Mars–Simon tensor and recover the nearby parameters effectively.

Implications if solved

Would produce a practical near-Kerr recognition theorem.


Last updated: 2026-04-05 · Edit on GitHub →